空间相关非平稳地震动反应谱拟合  

Fitting of response spectra for spatially correlated non-stationary ground motion

作　　者：刘志明[1,2] 杜成斌[1,2] 孙立国[1] 

机构地区：[1]河海大学土木工程学院,江苏南京210098 [2]中国水利水电科学研究院,北京100038

出　　处：《河海大学学报（自然科学版）》2009年第6期675-679,共5页Journal of Hohai University(Natural Sciences)

基　　金：国家重点基础研究发展计划(973计划)(2007CB714104);江苏省研究生培养创新工程项目(CX08B_104Z);中国水利水电科学研究院开放基金(2008538613)

摘　　要：为了给大跨度结构的抗震分析提供空间多点相关地震动加速度时程,在前人研究的基础上,提出根据标准设计反应谱合成非平稳空间相关多点地震波的方法.从规范反应谱出发得到功率谱,然后由地震动的空间相关性得到功率谱矩阵,用三角级数法生成各点地震动.生成的地震波具有地震动的空间相关性,同时还考虑了强度和频率的双重非平稳性,在保证相关性的前提下对初始波进行修正使其反应谱与规范反应谱逼近.数值算例表明,利用该方法生成的地震动加速度反应谱具有较高的拟合精度,合成的多点时程可用于大坝等延伸结构多点激励的地震动输入.In order to provide spatially correlated multi-station ground motion for the seismic analysis of structures with large spans, a method for the generation of spatially correlated non-stationary multi-station ground motion compatible with the code response spectra is proposed based on previous research. The power spectra were determined using the code response spectra. The matrix of the power spectra was then obtained from the spatial correlation of the ground and the ground motion at various stations was generated using the trigonometric series method. The generated motion, seismic waves were spatially correlated to the ground motion, and considered the double non-stationary properties of strength and frequency. Under the prequisite of ensuring correlation, the original waves were modified, and their response spectra were made to be closer to the code response spectra. Numerical simulations show that the response spectra of the ground motion generated by the proposed method are of high precision, and the generated multi-station-hydrographs of ground motion can be used as the input of ground motion for the analysis of structures such as dams considering the effect of multi-station excitation.

关 键 词：反应谱 人造地震动 空间相关性 非平稳 多点输入 

分 类 号：P315.9[天文地球—地震学] TU311.3[天文地球—固体地球物理学]